Use the limit comparison test to determine whether converges or diverges.
  1. Choose a series with terms of the form and apply the limit comparison test. Write your answer as a fully reduced fraction. For ,
       

  2. Evaluate the limit in the previous part. Enter as infinity and as -infinity. If the limit does not exist, enter DNE.
  3. By the limit comparison test, does the series converge, diverge, or is the test inconclusive?

You can earn 40% partial credit for 2 - 3 correct answers.